Question

Реши уравнение (x +9/14) -4/9=17/18 ( ответ запиши в виде несокоратимой дроби.

Answer 1

Пошаговое объяснение:

$(x + \frac{9}{14} ) - \frac{4}{9} = \frac{17}{18}$

$x + \frac{25}{126} = \frac{17}{18}$

$( \frac{126x}{126} + \frac{25}{126} ) = \frac{17}{18}$

$( \frac{1}{126} (126x + 25)) = \frac{17}{18}$

$\frac{126(126x + 25)}{126} = 126 \times \frac{17}{18}$

$\frac{126(126x + 25)}{126} = \frac{126 \times 17}{18}$

$(126x + 25) = \frac{126 \times 17}{18}$

$26x + 25 = 7 \times 17$

$26x + 25 = 119$

$26x + (25 - 25) = 119 - 25$

$126x = 119 - 25$

$126x = 94$

$\frac{126x}{126} = \frac{94}{126}$

$x = \frac{94}{126}$

$x = \frac{47}{63}$